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elixir [45]
3 years ago
12

Write 2.36 x 105 in standard form

Mathematics
2 answers:
ELEN [110]3 years ago
4 0
That would be  236,000
prisoha [69]3 years ago
3 0
Hi Lacy!

I'm guessing you mean 2.36 x 10^5.

Here's a hint, 10^e is essentially how many zeros added behind the 1 e many times. Say for instance, if our exponent (e) is 1  the answer would be 10, as there is only one zero. For this case, it's 10^5, thus there will be 5 zeros. 100,000.  So 2.36 x 100,000. 

Now, all you must do is move the decimal point of 2.36 by how many zeros you see.

2.36 -> 23.6 (1) -> 236. (2) -> 2360. (3) -> 23600. (4) -> 236000 (5).

Therefore the answer, in standard form, is 236,000 
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Answer:

The time that the rocket will hit the ground will be:

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Step-by-step explanation:

Given the expression

f\left(x\right)\:=-16x^2+272x+110

Here:

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  • y represents the height of the rocket

We know that when the rocket will hit the ground, the height will get y = 0

i.e.

0\:=-16x^2+272x+110

solving for x to determine the time that the rocket takes when it will hit the ground.

so

-16x^2+272x+110=0

subtract 110 from both sides

-16x^2+272x+110-110=0-110

-16x^2+272x=-110

Divide both sides by -16

\frac{-16x^2+272x}{-16}=\frac{-110}{-16}

x^2-17x=\frac{55}{8}

\mathrm{Add\:}\left(-\frac{17}{2}\right)^2\mathrm{\:to\:both\:sides}

x^2-17x+\left(-\frac{17}{2}\right)^2=\frac{55}{8}+\left(-\frac{17}{2}\right)^2

x^2-17x+\left(-\frac{17}{2}\right)^2=\frac{633}{8}

\left(x-\frac{17}{2}\right)^2=\frac{633}{8}

\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}

solving

x-\frac{17}{2}=\sqrt{\frac{633}{8}}

x=\frac{\sqrt{1266}}{4}+\frac{17}{2}

x = 17.40 seconds

also solving

x-\frac{17}{2}=-\sqrt{\frac{633}{8}}

x=-\frac{\sqrt{1266}}{4}+\frac{17}{2}

x = -0.40 seconds

As time can not be negative.

Thus, the value of x = 17.40 seconds

Therefore, the time that the rocket will hit the ground will be:

  • x = 17.40 seconds
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Conversion

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760 seconds will be 760/60

Time=760/60=12.666666666666

Rounded off, this is 12.67 minutes

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